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Finding the Fourth Proportional to 178,847,999.70, 268,271,999.55 and 150,150,185.70

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Solution

The fourth proportional to 178,847,999.70, 268,271,999.55 and 150,150,185.70 is: 225,225,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,847,999.70 : 268,271,999.55 = 150,150,185.70 : x
  2. Step 2: Convert to fraction form
    178,847,999.70/268,271,999.55 = 150,150,185.70/x
  3. Step 3: Cross multiply
    178,847,999.70x = 268,271,999.55 × 150,150,185.70
  4. Step 4: Simplify right side
    178,847,999.70x = 40,281,090,550,542,816
  5. Step 5: Solve for x
    x = 40,281,090,550,542,816/178,847,999.70
  6. Step 6: Final answer
    x = 225,225,278.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.